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10071240 = 2335234189
BaseRepresentation
bin100110011010…
…110011001000
3200221200010220
4212122303020
510034234430
6555510040
7151414134
oct46326310
920850126
1010071240
115759743
123458320
13211811a
1414a23c4
15d3e110
hex99acc8

10071240 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2478080.

The previous prime is 10071233. The next prime is 10071253. The reversal of 10071240 is 4217001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113116 + ... + 113204.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 210071240 is an apocalyptic number.

10071240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10071240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

10071240 is an abundant number, since it is smaller than the sum of its proper divisors (22587960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10071240 is a wasteful number, since it uses less digits than its factorization.

10071240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 10071240 is about 3173.5217030926. The cubic root of 10071240 is about 215.9538653184.

Adding to 10071240 its reverse (4217001), we get a palindrome (14288241).

The spelling of 10071240 in words is "ten million, seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 41 46 60 69 82 89 92 115 120 123 138 164 178 184 205 230 246 267 276 328 345 356 410 445 460 492 534 552 615 690 712 820 890 920 943 984 1068 1230 1335 1380 1640 1780 1886 2047 2136 2460 2670 2760 2829 3560 3649 3772 4094 4715 4920 5340 5658 6141 7298 7544 8188 9430 10235 10680 10947 11316 12282 14145 14596 16376 18245 18860 20470 21894 22632 24564 28290 29192 30705 36490 37720 40940 43788 49128 54735 56580 61410 72980 81880 83927 87576 109470 113160 122820 145960 167854 218940 245640 251781 335708 419635 437880 503562 671416 839270 1007124 1258905 1678540 2014248 2517810 3357080 5035620 10071240